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Finding the Fourth Proportional to 2,226.94, 3,072.94 and 1,232.21

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Solution

The fourth proportional to 2,226.94, 3,072.94 and 1,232.21 is: 1,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.94 : 3,072.94 = 1,232.21 : x
  2. Step 2: Convert to fraction form
    2,226.94/3,072.94 = 1,232.21/x
  3. Step 3: Cross multiply
    2,226.94x = 3,072.94 × 1,232.21
  4. Step 4: Simplify right side
    2,226.94x = 3,786,512.00
  5. Step 5: Solve for x
    x = 3,786,512.00/2,226.94
  6. Step 6: Final answer
    x = 1,700.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.